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13344922080 = 25325719591181
BaseRepresentation
bin11000110110110101…
…10101100111100000
31021110000211021121100
430123122311213200
5204312300001310
610044111554400
7651461652240
oct143332654740
937400737540
1013344922080
115728951526
12270522ba00
13134899a7c9
149084b3b20
15531885ec0
hex31b6b59e0

13344922080 has 576 divisors, whose sum is σ = 55760140800. Its totient is φ = 2838343680.

The previous prime is 13344922049. The next prime is 13344922103. The reversal of 13344922080 is 8022944331.

13344922080 is a `hidden beast` number, since 1 + 3 + 3 + 449 + 2 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11299090 + ... + 11300270.

It is an arithmetic number, because the mean of its divisors is an integer number (96805800).

Almost surely, 213344922080 is an apocalyptic number.

13344922080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13344922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27880070400).

13344922080 is an abundant number, since it is smaller than the sum of its proper divisors (42415218720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13344922080 is a wasteful number, since it uses less digits than its factorization.

13344922080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13344922080 in words is "thirteen billion, three hundred forty-four million, nine hundred twenty-two thousand, eighty".